Asymptotic Methods and Stochastic Models in Problems of Wave Propagation

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... vibrations of plates the severest restriction on the conditions of applicability of
the theory is imposed by inequality (2.46). ... are vanish- ingly small outside the
intervals (2.16) in the domain Q (k, s) defined by (3-39), (3.42), (3.43) and (3.44).
... only by linear terms in z from (3.34) (that is, when m = 1 and mQ = 0) in place of
(3-43) and (3.44) we obtain inequalities ... s) in which the integrands from (1.16)
are still nonzero we have in place of (3-45) and (3-46) inequalities of the form (
3.29).

Title

:

Asymptotic Methods and Stochastic Models in Problems of Wave Propagation

Author

:

Georgiĭ Ivanovich Petrashenʹ, K. P. Latyshev

Publisher

:

American Mathematical Soc. - 1971

ISBN-13

:

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